There is a geometrical relation that arc of circle is equal to the central angle.
And there is another relation that arc of a circle is equal to (radius *arc)

Aren't these two relation conflicting? ​

Answers

Answer 1
The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Is the correct

Related Questions

Find the volume of the cylinder. Use 3.14 for π. Round to the nearest tenth.

Answers

Answer:

62.8 m^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = (3.14) ( 2)^2 *5

V = 62.8 m^2

Answer:

V = 62.8 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 2 cm

h = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                               V = (3.14)(2 cm)²(5 cm)Evaluate exponents:                                                                                         V = (3.14)(4 cm²)(5 cm)Multiply:                                                                                                             V = (12.56 cm²)(5 cm)Multiply:                                                                                                             V = 62.8 cm³

Need help please!!!!!!!

Answers

Answer:

7833

Step-by-step explanation:

4896(on country)+2937(outside country)=7833 in total

this is all the information in the question

what is 4:6 as a percentage ​

Answers

Answer:

66.6667%

Step-by-step explanation:

If d = -3 what is the value of 15 - 3d ?​

Answers

Answer:

24

Step-by-step explanation:

15 - 3d

Let d = -3

15 - 3(-3)

Multiply

15 +9

Add

24

Answer:

24

Step-by-step explanation:

15 - 3d

* plug in -3 *

15 - 3(-3)

simplify -3(-3)

-3(-3) = + 9

add

15 + 9 = 24

A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.

Answers

Answer:

[tex]x = 15.[/tex]

Step-by-step explanation:

Given

See attachment for floor space

Required

Find x

The floor can be partitioned into three space.

The dimension and the area of each space is:

Dimension: 10 by 10

[tex]A_1 = 10* 10 = 100[/tex]

Dimension: 10 by x

[tex]A_2 = 10* x = 10x[/tex]

Dimension: x by x

[tex]A_3 = x* x=x^2[/tex]

So, the total area is:

[tex]Area =100 +10x + x^2[/tex]

Given that:

[tex]Area = 475[/tex]

So, we have:

[tex]100+10x+x^2 =475[/tex]

Rewrite as:

[tex]x^2 +10x+100-475=0[/tex]

[tex]x^2 +10x-375=0[/tex]

Expand

[tex]x^2 + 25x -15x -375 = 0[/tex]

Factorize

[tex]x(x + 25) -15(x +25) = 0[/tex]

Factor out x + 25

[tex](x+25)(x-15)=0[/tex]

Solve:

[tex]x = -25\ or\ x = 15[/tex]

x cannot be negative; So:

[tex]x = 15.[/tex]

Determine the surface area of the shape below.

Answers

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

If f(x)=x^+5x+2, find (-4) A) 34 B) -2 C) 38 D) -6

Answers

Answer:

f(-4)= -2

Step-by-step explanation:

f(x)=x^2+5x+2 find(-4)

replace x= -4 in function

f(-4) = (-4)^2+ 5*-4+2

       = 16 -20 +2

       = 18-20

       = -2

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle

Answers

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

The plane will be rectangular which is not a square. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.

Let a be the side length of the cube.

The length of the rectangular plane will be

L² = a² + a²

L = a√2

Then the dimension of the plane is 'a' and 'a√2' units.

The plane will be rectangular which is not a square. Then the correct option is B.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ2

G
A right rectangular prism has a height of 15 meters, a length of 4 meters, and a width of 3 meters. Which expressions
show how to calculate the volume? Check all that apply.

Answers

Answer:

180m^3

Step-by-step explanation:

Given data

Height = 15m

Lenght= 4m

Width=3m

We know that the volume of a rectangular prism is expressed as

Volume= L*W*H

Substitute

Volume= 4*3*15

Volume= 180m^3

if 4/5x - -3/4=0 then x=

Answers

the answer to your problem, X is 1/20

US
Find the median of the data.
The number of boys per classroom.
9, 2, 8, 6, 12, 2
Median: [?] boys
Enter the number that belongs in the green box.
Enter

Answers

Answer:

7 boys

Step-by-step explanation:

We must find the median of the data given. A median is the "middle number" of a set of numbers ordered in increasing value.

Step 1, ordering the numbers:

We will start by ordering the numbers from smallest to largest. We have:

2, 2, 6, 8, 9, 12

Step 2, finding the "middle number":

Well...notice how there is an even amount of numbers in the data set. We can't exactly find one "middle number". We can however, narrow the list down to two "middle numbers."

We have 6 and 8.

Step 3, taking the average:

To find the median, we will take the average of the two "middle numbers."

[tex]\frac{6+8}{2} =\\\frac{14}{2}=\\\fbox{7}[/tex]

The median is 7 boys.

I hope this helps! Let me know if you have any questions :)

Use the x-coordinates A and C to calculate AC without counting

Answers

21 its 21 because it is 21

What equals 394 in addition

Answers

Answer:

There are many answers

Step-by-step explanation:

393 + 1 = 394

392 + 2 = 394

391 + 3 = 394

And so forth...

Hope this helps :)

State which, if any, triangles are similar and why.

Answers

Answer is the last one: Yes because ABC and GFC are similar using AA

Lemme know if you need an explanation! :]

Answer:

yup its d

Step-by-step explanation:

just took the test and it was right

A teacher writes four numbers on the board as shown blow
1
0
4
3
She asked the students to form 4-digit number, and subtract from 4310.
Write two possible solutions​

Answers

Answer:

909 and 3267

Step-by-step explanation:

There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...

4310 - 3401 = 909

4310 - 1043 = 3267

Finally, we have two possible solutions which would be 909 and 3267

Write and solve the equation for the following situation:

Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A.) x + 16 = 90
B.) x + (x + 16) = 90
C.) 2x + 16 = 90 (NOT CORRECT)
D.) x + 16 = 180

WILL GIVE BRAINLIST

Answers

Answer:

B.) x + (x + 16) = 90

2x+16=90

2x=90-16

x=74/2

x=37

The correct answer is B.

At the market you can buy 5 bags of apples for $23.60. At the farm you can buy 7 apples for $32.76. Which is the better deal

Answers

Answer:

Market

Step-by-step explanation:

Market : 5 bags = $23.60

Farm : 7 apples = $32.76

Market = $23.60 ÷ 5

= $4.72 each BAG

Farm = $32.76 ÷ 7

= $4.68 each APPLE

Thus, market is the better deal because you will get 5 bags of apple for $4.72 for each bag.

11
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
yavariable, and what is the solution for this system?
x + 3y - 42
2x-y-14
OA. Multiply the second equation by-3. The solution is x = 12. y - 9.
ов.
Multiply the second equation by-2. The solution is x-12. y = 10.
OC.
Multiply the second equation by 2. The solution is x - 15, y = 9.
OD
Multiply the second equation by 3. The solution is x - 12. = 10.
Reset
Next

Answers

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10

Step-by-step explanation:

Given:

x + 3y = 42 (first equation)

2x - y = 14 (second equation)

To solve by elimination, starting with elimination of the y-variable, multiply the second equation by 3 to get a third equation.

2x - y = 14 (2nd eqn.) × 3

6x - 3y = 42 (3rd equation)

Add the 3rd equation and the 1st equation together.

x + 3y = 42 (first equation)

6x - 3y = 42 (3rd equation)

7x = 84

7x/7 = 84/7

x = 12

To find y, substitute x = 12 in the first equation

x + 3y = 42 (first equation)

12 + 3y = 42

12 + 3y - 12 = 42 - 12

3y = 30

3y/3 = 30/3

y = 10

Solution is x = 12, y = 10


Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
the ladder was 4 feet away from the wall. If his ladder was 13 feet long, how high up was the
top of the ladder against the wall of the house? Round your answer to the nearest tenth.

Answers

Answer:

12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

169 - 16 = x²

153 = x²

Find the square root of both sides

√153 = √x²

12.369316876852 = x

x = 12.4 feet

Adjacent = x = 12.4 feet

Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.

Answers

Answer:

$375

Step-by-step explanation:

$13,500÷36=$375

Hope this helps! :)

Answer:

375

Step-by-step explanation:

13500 divided by 36

Help me please
The question is in the picture above..​

Answers

Can barely see it my guy

Dana enters a race where she has to cycle and run. She cycles a distance of 25km and then runs for 20km. Her average running speed is half of her average cycling speed. If dana completes the race in 5 hours, what is her average cycling speed !

Answers

Step-by-step explanation:

Let running speed = x.

So, cycling speed = 2x.

Total distance traveled = 20 + 25 = 45km

Time taken running = 20/x

Time taken cycling = 25/2c

Total time taken = 5 hours

So, 5 = 20/x + 25/2x

Solving this equation for x gives:

10x = 65. Thus x = 6.5

Since cycling speed = 2x, cycling speed = (6.5)(2)

So cycling speed is 13 km/h.

Hope it helps.

2 + (-25) =?
NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER!

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

When you do positive-negative you subtract the 2 numbers then take the sign of the number that had the highest absolute value.

25-2=23

The absolute value of -25 is 25

(|-25| = 25)

And the absolute value of 2 is 2

(|2| = 2)

25 > 2

So it would be -23

What is the Answer???

Answers

Answer:1 min

Step-by-step explanation:

What is the image point of (4, -6) after a translation right 5 units and
up 4 units?

Answers

Answer:

Coordinate point of the image is (9, -2)

Step-by-step explanation:

In the coordinate point (4, -6);

=> x-value = 4

=> y-value = -6

We know that the translation of;

=> 5 units right would add 5 to the x-value

(x) + 5 = (4) + 59 <= This is the x-value of the image being created by the translation.

=> 4 units up would add 4 to the y-value

(y) + 4 = (-6) + 4-2 <= This is the y-value of the image being created by the translation.

Therefore the answer; (x, y) => (9, -2)

Hope this helps!

please help with number 53!!!!
pretty please

Answers

Answer:

The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.

Happy learning!

--Applepi101 :)

Answer:

Arithmetic

Step-by-step explanation:

It has a constant difference between each number whilst Geometric usually has the same difference between each number

Identify the correct equation that matches the graph.

Answers

Answer:

I don't know either B or D ........

Answer:

A, y=1/4x+2

Step-by-step explanation:

All of the equations are the same except forthe slope. Look at the points where the line crosses the points, I chose (0,2) and (4,3). The line goes up one and over four from the first point to the second point. Since it’s rise over run, up and over, it’s 1/4x

Which expression results in the smallest difference?
A.
B.
C.
12.5 - 3.1
12.5 -0.31
12.5 -0.031
D.
12.5 -0.0031​

Answers

The answer is C 12.5 -0.031

(5x-3)=(3x+27) I dont understand

Answers

Answer:

x = 15

Step-by-step explanation:

(5x-3)=(3x+27)

Subtract 3x from each side

(5x-3x-3)=(3x-3x+27)

2x-3 = 27

Add 3 to each side

2x-3+3 = 27+3

2x= 30

Divide by 2

2x/2 = 30/2

x = 15

Will


Give BRIANLIST



Write the sentence as an equation use x to represent a number

“Six times the difference of 11 and a number is -72”

Answers

Answer:

6 × (11 - x) = -72 => x = 23

or

6 × (x - 11) = -72 => x = -1

Step-by-step explanation:

there are at least two possibilities, as the "difference between two numbers a and b can be excised as either a-b or b-a.

in any case, just following the sentence

Six times = 6 ×

difference of 11 and a number = 11 - x

is -72 = -72

so,

6 × (11 - x) = -72

and that is true for x = 23

but

the other direction is possible too

6 × (x - 11) = -72

and that is true for x = -1

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